A triangle has sides A, B, and C. The angle between sides A and B is (pi)/2 and the angle between sides B and C is pi/6. If side B has a length of 1, what is the area of the triangle?

2 Answers
Binayaka C.
Apr 8, 2016

Areaof the triangle is 0.29 units

Explanation:

This is a right angled triangle.The angle opposite to the side A /_A=180/6=30^0;/_C=180/2=90^0;/_B=180-(90+30)=60^0Using sine law we getB/sinB=A/sinA or A=1.(sin30/sin60)=1/sqrt3.So Areaof the triangle = 1/2*base(B)*height(A)=1/2*1*1/sqrt3=0.29units[Ans]

Alan P.
Apr 8, 2016

Area =1/(2sqrt(3))~~0.29

Explanation:

Using the standard trigonometric triangle for pi/6 and then scaling it to match the given description:
enter image source here

The Area is 1/2AB (standard formula for a triangle).
color(white)("XX")=1/2*1*1/sqrt(3) = 1/(2sqrt(3))

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